Curriculum
Mathematics — Second Preparatory
Unit 1: Real Numbers
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Real Numbers
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Real Numbers — Lesson quiz
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Intervals and Operations on Them
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Intervals and Operations on Them — Lesson quiz
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Operations on Real Numbers
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Operations on Real Numbers — Lesson quiz
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Square and Cube Root Laws
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Square and Cube Root Laws — Lesson quiz
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Laws of Exponents
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Laws of Exponents — Lesson quiz
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Unit 2: Algebra
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Unit 3: Geometry
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Unit 4: Statistics
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Text lesson
Laws of Exponents
Laws of Exponents
The laws of exponents
The laws of exponents
- Let a and b be non-zero real numbers
- and let m and n be integers. Then:
| Law | Example |
|---|---|
| am × an = am+n | 23 × 24 = 27 = 128 |
| am ÷ an = am−n | 36 ÷ 32 = 34 = 81 |
| (am)n = am×n | (23)2 = 26 = 64 |
| (a × b)n = an × bn | (2 × 5)3 = 23 × 53 = 1000 |
Important note→the laws for multiplication and division require the same base. We cannot write 23 × 32 = 65, because the bases are different.
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